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2 years ago

Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square.How many tiles will be need?

Mathematics

2 answers:

tatiyna2 years ago

7 0

Answer:

854 glass tiles

Step-by-step explanation:

first you have to find the area of each side so that you can add them up together.

(20*9)+(20*9)+(13*9)+(13*9)+(20*13)

Simplify

[(20*9)2] +[(13*9)2]+(20*13)

360+234+260

854

KengaRu [80]2 years ago

6 0

Answer:

372

Step-by-step explanation:

We are given that the dimensions of the box are,

Length = 15 cm, Width = 20 cm and Height = 9 cm.

We know that the box represents a cuboid.

Since, surface area of a cuboid = L×W + 2×L×H + 2×W×H

Thus, the surface area of the box = 15×20 + 2×15×9 + 2×20×9

i.e. Surface area = 300 + 270 + 360

i.e. Surface area = 930.

Thus, the surface area of the box is 930 cm² i.e. 9300 mm².

Further, the sides of the tiles are 5 mm and the tile represents a square.

So, the surface area of the tile = 5 × 5 = 25 mm².

This gives us that,

Number of tiles required to cover the box= 372.

Hence, Dmitri requires 372 tiles to cover the box

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You and a friend have a hula hoop competition. you win 3 out of every 7 trials. your friend wins 5 more trials than you. how man

Ivenika [448]

Answer:

Total number of trials is 35.

Step-by-step explanation:

Given : Me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.

To find : How many trials are in the competition?

Solution :

Probability of my winning is 3 out of 7 trials $=\frac{3}{7}$

and probability of my friend's winning is $=1-\frac{3}{7}=\frac{4}{7}$

Let there be n numbers of trials.

Therefore, my score after n trials $=\frac{3n}{7}$

and my friend's score after n trials $=\frac{4n}{7}$

Now, the number of trials my friend won more than me is

$\frac{4n}{7}-\frac{3n}{7}=\frac{n}{7}$

We know, that my friend won 5 more trials than me so comparing the actual and given we get,

$\frac{n}{7}=5\\n=7\times5=35$

Therefore, total number of trials is 35.

We can also verify our answer by placing value of n,

After 35 trials I will win $\frac{3\times 35}{7}=15$ trials

and my friend will win $\frac{4\times 35}{7}=20$ trials.

Hence, my friend won 5 more trials than me.

3 0

2 years ago

6 use fermat’s theorem to find a number x between 0 and 28 with x85 congruent to 6 modulo 29. (

Ulleksa [173]

If

$x^{85}\equiv6\mod29$

then we have

$\dfrac{x^{85}}6\equiv1\mod29$

By Fermat's little theorem, if $a$ is not divisible by a prime $p$ , then

$a^{p-1}\equiv1\mod p$

This works for $x=6$ ; in this case, we would have

$\dfrac{6^{85}}6=6^{84}=\left(6^3\right)^{28}=\left(6^3\right)^{29-1}\equiv1\mod29$

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2 years ago

Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation

Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

Given : Number of bags needed $B=x(2x+7)+3(2x+7)+(x+4)$